Average train speed#5139

Average train speed

1 second
128 megabytes
Very easy

Find the average speed of the train, if it traveled the first half of the distance at a speed of v_1, and the second half at a speed of v_2.

Input

Two integers v_1 and v_2~(1 \le v_1, v_2 \le 10^9).

Output

Print the average speed of the train with decimal places.

Examples

Example 1

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Example 2

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